R-square

parameters mean se_mean sd 2.5% 25% 50% 75% 97.5% n_eff Rhat
Rsq_0 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 11742.811 0.9998130
Rsq_1 0.6808137 0.0000991 0.0100862 0.6604498 0.6741857 0.6810705 0.6876943 0.7000322 10358.252 1.0004759
Rsq_2 0.7891950 0.0000628 0.0090251 0.7707279 0.7833736 0.7894697 0.7952822 0.8060618 20683.981 0.9999753
Rsq_3 0.7911578 0.0000581 0.0086193 0.7736151 0.7854669 0.7913215 0.7970332 0.8075561 21995.632 0.9997713
Rsq_4 0.7737157 0.0001591 0.0104195 0.7524383 0.7669151 0.7741472 0.7808090 0.7930706 4291.333 0.9999716

Loo-compare the models

##         elpd_diff se_diff
## model_3    0.0       0.0 
## model_2   -6.2       2.6 
## model_4  -35.8      41.2 
## model_0 -521.3      36.7 
## model_1 -789.2      32.2

Posterior predictive checks with loo

Density plot of observations against simulations

Simulations against observed data